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Finding the Fourth Proportional to 677.83, 934.75 and 398.08

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Solution

The fourth proportional to 677.83, 934.75 and 398.08 is: 548.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.83 : 934.75 = 398.08 : x
  2. Step 2: Convert to fraction form
    677.83/934.75 = 398.08/x
  3. Step 3: Cross multiply
    677.83x = 934.75 × 398.08
  4. Step 4: Simplify right side
    677.83x = 372,105.28
  5. Step 5: Solve for x
    x = 372,105.28/677.83
  6. Step 6: Final answer
    x = 548.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.